What is the Greatest Common Factor of 67350 and 67355?

Greatest common factor (GCF) of 67350 and 67355 is 5.

GCF(67350,67355) = 5

We will now calculate the prime factors of 67350 and 67355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67350 and 67355.

How to find the GCF of 67350 and 67355?

We will first find the prime factorization of 67350 and 67355. After we will calculate the factors of 67350 and 67355 and find the biggest common factor number .

Step-1: Prime Factorization of 67350

Prime factors of 67350 are 2, 3, 5, 449. Prime factorization of 67350 in exponential form is:

67350 = 2¹ × 3¹ × 5² × 449¹

Step-2: Prime Factorization of 67355

Prime factors of 67355 are 5, 19, 709. Prime factorization of 67355 in exponential form is:

67355 = 5¹ × 19¹ × 709¹

Step-3: Factors of 67350

List of positive integer factors of 67350 that divides 67350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 449, 898, 1347, 2245, 2694, 4490, 6735, 11225, 13470, 22450, 33675

Step-4: Factors of 67355

List of positive integer factors of 67355 that divides 67350 without a remainder.

1, 5, 19, 95, 709, 3545, 13471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67350 and 67355. The biggest common factor number is the GCF number.
So the greatest common factor 67350 and 67355 is 5.

Also check out the Least Common Multiple of 67350 and 67355